Precalculus

Functions and Graphs
6 ed
ISBN: 978-0-07-286739-8
Verlag: McGraw-Hill Education - Europe

Buch, Englisch, 1192 Seiten, Format (B × H): 213 mm x 269 mm, Gewicht: 862 g

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.

Autoren/Hrsg.

Barnett, Raymond

Ziegler, Michael

Byleen, Karl

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Chapter R: Basic Algebraic OperationsR-1Algebra and Real NumbersR-2Exponents R-3RadicalsR-4Polynomials: Basic OperationsR-5Polynomials: FactoringR-6Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number Representations
Chapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2Linear Inequalities1-3 Absolute Value1-4Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic Equation
Chapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of Change
Chapter 3: Functions3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review Exercises
Chapter 4: Polynomials and Rational Functions4-1Polynomial Functions and Models4-2Real Zeros and Polynomial Inequalities4-3Complex Zeros and Rational Zeros of Polynomials4-4Rational Functions and Inequalities4-5Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating Polynomials
Chapter 5: Exponential and Logarithmic Functions5-1Exponential Functions5-2Exponential Models5-3Logarithmic Functions5-4Logarithmic Models5-5Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review Exercises
Chapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Trigonometric Functions: A Unit Circle Approach6-3 Solving Right Triangles6-4 Trigonometric Functions: Properties and Graphs6-5 More General Trigonometric Functions6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
Chapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 ReviewChapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool
Chapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre's TheoremChapter 8 ReviewChapter 8 Group Activity: Conic Sections and Planetary OrbitsChapters 6-8 Cumulative Review Exercises
Chapter 9: Additional Topics in Analytic Geometry9-1Conic Sections; Parabolas9-2Ellipses9-3Hyperbolas9-4 Rotation of AxesChapter 9 ReviewChapter 9 Group Activity: Focal Chords
Chapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations: Graphing and Substitution10-2 Systems of Linear Equations: Elimination10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrices: Basic Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Group Activity: Modeling With Systems of Linear Equations
Chapter 11: Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Group Activity: Sequences Specified by Recursion FormulasChapters 9-11 Cumulative Review Exercises
Appendix A: Special TopicsA-1 Scientific Notation and Significant DigitsA-2 Partial FractionsA-3 Parametric Equations
Appendix B: Geometric Formulas